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Finding the Fourth Proportional to 14,476.82, 19,977.95 and 8,511.90

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Solution

The fourth proportional to 14,476.82, 19,977.95 and 8,511.90 is: 11,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476.82 : 19,977.95 = 8,511.90 : x
  2. Step 2: Convert to fraction form
    14,476.82/19,977.95 = 8,511.90/x
  3. Step 3: Cross multiply
    14,476.82x = 19,977.95 × 8,511.90
  4. Step 4: Simplify right side
    14,476.82x = 170,050,270.05
  5. Step 5: Solve for x
    x = 170,050,270.05/14,476.82
  6. Step 6: Final answer
    x = 11,746.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.